Hyperuniform Point Sets on Projective Spaces
Abstract
Abstract We extend the notion of hyperuniformity to the projective spaces $$\mathbb{R}\mathbb{P}^{d-1}$$ R P d - 1 , $$\mathbb{C}\mathbb{P}^{d-1}$$ C P d - 1 , $$\mathbb{H}\mathbb{P}^{d-1}$$ H P d - 1 , and $$\mathbb{O}\mathbb{P}^2$$ O P 2 . We show that hyperuniformity implies uniform distribution and present examples of deterministic point sets as well as point processes which exhibit hyperuniform behaviour.
Fields of Study & Subjects
Fixed Point Theorems Analysis
Fuzzy and Soft Set Theory
Advanced Numerical Analysis Techniques
Publication details
- Journal / source
- Constructive Approximation
- Publisher
- Springer Science and Business Media LLC
- Volume
- 64
- Issue
- 1
- Pages
- 65–86
- Publication date
- 29 May 2026
- Language
- EN